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How many words, each of 2 vowels and 2 c...

How many words, each of 2 vowels and 2 consonants can be forward from the letters of the word HEXAGON.

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HEXAGON has 3 vowels and 4 consonants.
2 vowels can be selected out of 3 in `""^(3)C_(2)` =3 ways
2 consonants can be selected out of 4 in `""^(4)C_(2)` =6 ways
`therefore` Required no. of words `=""^(3)C_(2)xx""^(4)C_(2)xx4!""=432` ways.
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